Multisymplectic implicit and explicit methods for Klein-Gordon-Schrdinger equations  

作　　者：蔡加祥 杨斌 梁华 

机构地区：[1]School of Mathematical Science,Huaiyin Normal University

出　　处：《Chinese Physics B》2013年第3期99-105,共7页中国物理B（英文版）

基　　金：Project supported by the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 11201169);the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No. 10KJB110001)

摘　　要：We propose multisymplectic implicit and explicit Fourier pseudospectral methods for the Klein-Gordon-Schrodinger equations.We prove that the implicit method satisfies the charge conservation law exactly.Both methods provide accurate solutions in long-time computations and simulate the soliton collision well.The numerical results show the abilities of the two methods in preserving the charge,energy,and momentum conservation laws.We propose multisymplectic implicit and explicit Fourier pseudospectral methods for the Klein-Gordon-Schrodinger equations.We prove that the implicit method satisfies the charge conservation law exactly.Both methods provide accurate solutions in long-time computations and simulate the soliton collision well.The numerical results show the abilities of the two methods in preserving the charge,energy,and momentum conservation laws.

关 键 词：Klein-Gordon-Schrodinger equations multisymplectic method Fourier pseudospectral method conservation law 

分 类 号：O175[理学—数学]